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Finding the Fourth Proportional to 385,016.40, 577,521 and 104,533.68

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Solution

The fourth proportional to 385,016.40, 577,521 and 104,533.68 is: 156,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,016.40 : 577,521 = 104,533.68 : x
  2. Step 2: Convert to fraction form
    385,016.40/577,521 = 104,533.68/x
  3. Step 3: Cross multiply
    385,016.40x = 577,521 × 104,533.68
  4. Step 4: Simplify right side
    385,016.40x = 60,370,395,407.28
  5. Step 5: Solve for x
    x = 60,370,395,407.28/385,016.40
  6. Step 6: Final answer
    x = 156,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.